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    ) Assume the following alphabet with eight symbols, where each symbol
    has the listed probability of occurrence.
    Symbol Probability of
    000 .15
    001 .1
    010 .05
    011 .4
    100 .025
    101 .02
    110 .005
    111 .25
    (a) Assuming that symbols are compressed using Huffman Coding and that the most
    likely symbol is encoded as a 0, what is the decompressed value of the following
    compressed string of bits? 11011101111001111101111110111111110
    (b) For the Huffman Code that corresponds to the alphabet shown in the table above,
    what is the average number of bits needed to encode each 3-bit symbol?

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